Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Geometrical clusters in two-dimensional random-field Ising models.

László Környei1, Ferenc Iglói

  • 1Institute of Theoretical Physics, Szeged University, H-6720 Szeged, Hungary.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The SIDECAR 2.0 (S-ICD registry in European paediatric and young adult patients with congenital heart defects 2.0): an analysis of European S-ICD clinical practice and its evolution in paediatric patients.

Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology·2025
Same author

SHOULD PATIENT AGE AND BODY MASS BE TAKEN IN CONSIDERATION WHEN ZERO FLUORO ABLATION IS SCHEDULED?

Acta clinica Croatica·2025
Same author

Landiolol is effective and safe in paediatric supraventricular tachycardia: evidence from a European prospective multicentre open-label phase III study (LANDI-PED).

Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology·2025
Same author

Covered Stent Correction for Sinus Venosus Atrial Septal Defects, an Emerging Alternative to Surgical Repair: Results of an International Registry.

Circulation·2024
Same author

[Diagnostic and therapeutic perspectives in RASopathies].

Magyar onkologia·2024
Same author

Midseptal and Anteroseptal Accessory Pathway Ablation in Children.

Journal of clinical medicine·2024
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

We studied geometrical clusters in a random-field Ising model. Cluster size diverges at a critical field strength, linking to percolation theory and conformal transformations.

Area of Science:

  • Statistical physics
  • Condensed matter physics
  • Ising model systems

Background:

  • The study investigates geometrical and Ising clusters within the square lattice random-field Ising model.
  • Understanding domain structures and spin correlations is crucial in statistical mechanics.

Purpose of the Study:

  • To analyze the behavior of geometrical cluster sizes and correlation functions.
  • To determine the critical field strength (Delta_c) and associated scaling exponents.
  • To explore the relationship between critical phenomena in the Ising model and percolation theory.

Main Methods:

  • Numerical simulations of the random-field Ising model on a square lattice.
  • Analysis of cluster size distribution and geometrical correlation functions.

Related Experiment Videos

  • Investigation of scaling behavior near the critical field strength.

    • Main Results:

    • The geometrical correlation length (xi) is finite for Delta > Delta_c (approx. 1.65) and diverges for Delta < Delta_c.
    • Scaling exponents of critical percolation govern cluster mass distribution and correlation functions.
    • The correlation length divergence follows xi(Delta) proportional to (Delta - Delta_c)^(-nu) with nu approx 2, linking to tricritical percolation.
    • Critical geometrical correlations exhibit conformal transformation properties.

    Conclusions:

    • The critical behavior of the random-field Ising model's clusters is closely related to percolation theory.
    • The observed divergence and scaling are consistent with tricritical percolation phenomena.
    • Numerical evidence supports the conformal invariance of critical geometrical correlations.